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by zxcmx 3287 days ago
It's not precision loss, it's that when you DFT you choose an interval. If you choose a short interval you are less certain about frequencies while if you choose a long interval you are less certain about time domain changes (i.e, changes in the signal over your time period).

Funnily enough this is similar to heisenberg's uncertainty principle, you can read about it here: http://fourier.eng.hmc.edu/e101/lectures/Fourier_Analysis/no...